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The function f(x) has the property that f (x+y) = f(x)+f(y)+xy, for all positive integers x and y. If f(1) = 4, then what is the value of f(8)?

 Jun 14, 2021

Best Answer 

 #1
avatar+2135 
+2

f(1) = 4

f(1+1) = f(1) + f(1) + 1*1

f(2) = 9

f(2+2) = f(2) + f(2) + 2*2

f(4) = 22

f(4+4) = f(4) + f(4) + 4*4

f(8) = 60

 

=^._.^=

 Jun 14, 2021
 #1
avatar+2135 
+2
Best Answer

f(1) = 4

f(1+1) = f(1) + f(1) + 1*1

f(2) = 9

f(2+2) = f(2) + f(2) + 2*2

f(4) = 22

f(4+4) = f(4) + f(4) + 4*4

f(8) = 60

 

=^._.^=

catmg Jun 14, 2021

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